Full-text resources of CEJSH and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


2010 | 11 | 1 | 167-88

Article title

Asymptotic nash equilibria in discounted stochastic games of resource extraction

Authors

Content

Title variants

Languages of publication

EN

Abstracts

EN
A class of two person nonzero-sum nonsymmetric stochastic games of capital accumulation/resource extraction is considered. It is shown that the Nash equilibrium in the discounted games has a limit when the discount factor tends to 1. Moreover, this limit is an epsilon-equilibrium in the discounted game with sufficiently large discount factor.

Year

Volume

11

Issue

1

Pages

167-88

Physical description

Dates

published
2013

Contributors

  • Institute of Mathematics and Computer Sciences, Wroclaw University of Technology

References

  • Amir R., Continuous stochastic games of capital accumulation with convex transitions, Games and Economic Behavior 15 (1996), 111–131.
  • Balbus L., Nowak A.S., Construction of Nash equilibria in symmetric stochastic games of capital accumulation, Mathematical Methods of Operations Research 60 (2004), 267–277.
  • Balbus L., Nowak A.S., Existence of perfect equilibria in a class of multigenerational stochastic games of capital accumulation, Automatica 44 (2008), 1471–1479.
  • Balbus L., Nowak A.S., Nash equilibria in unconstrained stochastic games of resource extractions, International Game Theory Review 10 (2008), 25–35.
  • Bertsekas D.P., Shreve S.E., Stochastic Optimal Control: the Discrete-Time Case, (New York: Academic Press, 1978).
  • Blackwell D., Discounted dynamic programming, The Annals of Mathematical Statistics 36 (1965), 226-235.
  • Curtat L.O., Markov equilibria of stochastic games with complementarities, Games and Economic Behavior 17 (1996), 177–199.
  • Dutta P.K. Sundaram R.K., Markovian equilibrium in a class of stochastic games: existence theorem for discounted and undiscounted models, Economic Theory 2 (1992), 197–214.
  • Fink A.M., Equilibrium in a stochastic n - person game, Journal of Science of the Hiroshima University 28 (1964), 89–93.
  • Levhari D., Mirman L., The great fish war: an example using a dynamic Cournot-Nash solution, Bell Journal of Economics 11 (1980), 322-344.
  • Majumdar M., Sundaram R.K., Symmetric stochastic games of resource extraction: the existence of non-randomized stationary equilibrium, in: Stochastic Games and Related Topics (Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991), T.E.S. Raghavan et al. (eds.), Shapley Honor Volume, 175–190.
  • Nowak A.S., On a new class of nonzero-sum discounted stochastic games having stationary Nash equilibrium points, International Journal of Game Theory 32 (2003), 121–132.
  • Nowak A.S., N-person stochastic games: extensions of the finite state space case and correlation, in: Stochastic Games and Applications (Kluwer Academic Publishers, Dordrecht, The Netherlands, 2003), A. Neyman and S. Sorin (eds.), Lecture notes in NATO Science Series C, Mathematical and Physical Sciences, 93–106.
  • Nowak A.S., Szajowski P., On Nash equilibria in stochastic games of capital accumulation, in: Game Theory and Applications 9 (2003), L.A. Petrosjan and V.V. Mazalov (eds.), 119–129.
  • Rieder U., Equilibrium plans for nonzero-sum Markov games, in: Game Theory and Related Topics (North-Holland, Amsterdam, 1979), 91-102.
  • Szajowski P., Constructions of Nash equilibria in stochastic games of resource extraction with additive transition structure, Mathematical Methods of Operations Research 63 (2006), 239–260.
  • Zhu Q., Guo X., Dai Y., Unbounded costMarkov decision proces with limsup and liminf average criteria: new conditions, Mathematical Methods of Operations Research 61 (2005), 469–482.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-da0ab0ba-a427-4f2c-a757-baabdd67f724
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.